76 citations · 159 across the 22 of their papers we have counts for
4 papers · 1 filter
Nonsmooth Calabi-Yau structures for algebras and coalgebras
Matt Booth, Joseph Chuang, Andrey Lazarev
We show that generalised Calabi-Yau dg (co)algebras are Koszul dual to generalised symmetric dg (co)algebras, without needing to assume any smoothness or properness hypotheses. Sim…
Rank functions on triangulated categories
Joseph Chuang, Andrey Lazarev
We introduce the notion of a rank function on a triangulated category which generalizes the Sylvester rank function in the case when $\mathcal{C}=\operatorname{Perf}(…
On the magnitude of a finite dimensional algebra
Joseph Chuang, Alastair King, Tom Leinster
There is a general notion of the magnitude of an enriched category, defined subject to hypotheses. In topological and geometric contexts, magnitude is already known to be closely r…
Free resolutions of algebras
Joe Chuang, Alastair King
Given an algebra A, presented by generators and relations, i.e. as a quotient of a tensor algebra by an ideal, we construct a free algebra resolution of A, i.e. a differential grad…